These are the first sentences in the short story, "The Gift of the Magi," by O. Henry:"One dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies."What are possible numbers of coins to make $1.87?Use the equation that represents the value of the coins to complete the table.q quarters d dimes n nickels p pennies4 6 5 ___0 18 0 ___2 ___ 5 22___ 10 ___ 375 0 ___ 47
Question
These are the first sentences in the short story, "The Gift of the Magi," by O. Henry:"One dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies."What are possible numbers of coins to make $1.87?Use the equation that represents the value of the coins to complete the table.q quarters d dimes n nickels p pennies4 6 5 ___0 18 0 2 ___ 5 22 10 ___ 375 0 ___ 47
Solution
The table represents the number of quarters (q), dimes (d), nickels (n), and pennies (p) that can make up $1.87. The value of each coin in cents is: quarters = 25 cents, dimes = 10 cents, nickels = 5 cents, and pennies = 1 cent.
The equation to represent the value of the coins is: 25q + 10d + 5n + p = 187
Let's fill in the table:
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For the first row, we have 4 quarters, 6 dimes, and 5 nickels. Using the equation, we can solve for p: 254 + 106 + 5*5 + p = 187 100 + 60 + 25 + p = 187 185 + p = 187 p = 187 - 185 p = 2 So, the first row of the table is: 4 quarters, 6 dimes, 5 nickels, and 2 pennies.
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For the second row, we have 0 quarters, 18 dimes, and 0 nickels. Using the equation, we can solve for p: 250 + 1018 + 5*0 + p = 187 0 + 180 + 0 + p = 187 180 + p = 187 p = 187 - 180 p = 7 So, the second row of the table is: 0 quarters, 18 dimes, 0 nickels, and 7 pennies.
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For the third row, we have 2 quarters, unknown dimes, 5 nickels, and 22 pennies. Using the equation, we can solve for d: 252 + 10d + 55 + 22 = 187 50 + 10d + 25 + 22 = 187 97 + 10d = 187 10d = 187 - 97 10d = 90 d = 90 / 10 d = 9 So, the third row of the table is: 2 quarters, 9 dimes, 5 nickels, and 22 pennies.
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For the fourth row, we have unknown quarters, 10 dimes, unknown nickels, and 37 pennies. Using the equation, we can solve for q and n: 25q + 10*10 + 5n + 37 = 187 25q + 100 + 5n + 37 = 187 25q + 137 + 5n = 187 25q + 5n = 187 - 137 25q + 5n = 50 We can see that the only way to make 50 with 25 and 5 is to have 2 quarters and no nickels. So, the fourth row of the table is: 2 quarters, 10 dimes, 0 nickels, and 37 pennies.
Similar Questions
These are the first sentences in the short story, "The Gift of the Magi," by O. Henry:"One dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies."A. Simplify the equation that represents the value of the coins. Make it an equation that expresses the value of quarters, dimes, and nickels. Show your work.B. Is it possible to have exactly 60 pennies in $1.87? Explain.
The Gift of the Magi (excerpt)O. Henry1One dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies. Pennies saved one and two at a time by bulldozing the grocer and the vegetable man and the butcher until one's cheeks burned with the silent imputation of parsimony that such close dealing implied. Three times Della counted it. One dollar and eighty-seven cents. And the next day would be Christmas.2There was clearly nothing to do but flop down on the shabby little couch and howl. So Della did it. Which instigates the moral reflection that life is made up of sobs, sniffles, and smiles, with sniffles predominating.3While the mistress of the home is gradually subsiding from the first stage to the second, take a look at the home. A furnished flat at $8 per week. It did not exactly beggar description, but it certainly had that word on the lookout for the mendicancy squad.4In the vestibule below was a letter-box into which no letter would go, and an electric button from which no mortal finger could coax a ring. Also appertaining thereunto was a card bearing the name "Mr. James Dillingham Young."5The "Dillingham" had been flung to the breeze during a former period of prosperity when its possessor was being paid $30 per week. Now, when the income was shrunk to $20, though, they were thinking seriously of contracting to a modest and unassuming D. But whenever Mr. James Dillingham Young came home and reached his flat above he was called "Jim" and greatly hugged by Mrs. James Dillingham Young, already introduced to you as Della. Which is all very good.6Della finished her cry and attended to her cheeks with the powder rag. She stood by the window and looked out dully at a gray cat walking a gray fence in a gray backyard. Tomorrow would be Christmas Day, and she had only $1.87 with which to buy Jim a present. She had been saving every penny she could for months, with this result. Twenty dollars a week doesn't go far. Expenses had been greater than she had calculated. They always are. Only $1.87 to buy a present for Jim. Her Jim. Many a happy hour she had spent planning for something nice for him. Something fine and rare and sterling--something just a little bit near to being worthy of the honor of being owned by Jim.QuestionWhich BEST describes the effect of sections one and two?ResponsesA The lack of dialogue reveals the loneliness, but also the selfishness of Della.The lack of dialogue reveals the loneliness, but also the selfishness of Della.B Fragments and short sentences create a sense of urgency or intensity in the reader.Fragments and short sentences create a sense of urgency or intensity in the reader.C Short sentences and formal diction reveal a comical aspect to the information shared.Short sentences and formal diction reveal a comical aspect to the information shared.D Formal diction and fragments cause the reader to see the impatient disposition of Della.Formal diction and fragments cause the reader to see the impatient disposition of Della.
Katie had 21 nickels, dimes and quarters worth $2.25. If she had twice as many nickels as quarters, how many of each type of coin did Katie have?
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I have 45 coins in my pocket. They are all either nickels or quarters. Thevalue of the coins is $5.65. How many of each coin do I have?
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